References
- Bissantz, N., Hohage, T., Munk, A. (2004). Consistency and rate of convergence of non linear Tikhonov regularization with random noise. Inverse Prob. 20:1773–1789.
- Brezis, H. (1999). Analyse fonctionnelle. Théorie et applications. Paris: Dunod.
- Cardot, H. (2002). Spatially adaptive splines for statistical linear inverse problems. J. Multivariate Anal. 81:100–119.
- Cavalier, L. (2006). Inverse problems with non compact operators. J. Stat. Plan. Inference 136:390–400.
- Cuevas, A., Febrero, M., Fraiman, R. (2002). Linear functional regression: the case of fixed design and functional response. Can. J. Stat. 30(2):285–300.
- Deville, J.C., Sarndal, C.E. (1992). Calibration Estimators in Survey Sampling. J. Am. Stat. Assoc. 87(418):376–382.
- Engl, H.W., Hanke, M., Neubauer, A. (1996). Regularization of Inverse Problems. Dordrecht: Kluwer.
- Jalade, E. (2004). Inverse problem for a nonlinear Helmholtz equation. Ann. I.H. Poincaré - AN 21:517–531.
- Kaipio, J., Somersalo, E. (2004). Computational and Statistical Methods for Inverse Problems. New York: Springer Verlag.
- Kirsch, A. (1996). An Introduction to the Mathematical Theory of Inverse Problems. New York: Springer Verlag.
- Lavrentiev, M.M., Avdeev, A.V., Priimenko, V.I. (2003). Inverse Problems of Mathematical Physics. Walter de Gruyter: Walter de Gruyter Inc.
- Lavrentiev, M.M., Romanov, V.G., Shishatskii, S.P. (1986). Ill-posed Problems of Mathematical Physics and Analysis. Providence: American Mathematical Society.
- Nashed, M.Z. (1976). Perturbations and Approximations for Generalized Inverses and Linear Operator Equations. Generalized Inverses and Applications (pp. 325–396). New York: Academic Press.
- Osborne, C. (1991). Statistical calibration: a review. Int. Stat. Rev. 59:309–336.
- Ramm, A.G. (2005). Inverse Problems. Mathematical and analytical Techniques with Applications to Engineering. New York: Springer-Verlag.
- Riesz, F., Nagy, B.S. (1955). Functional Analysis. New York: Frederick Ungar.
- Sarndal, C.E., Swensson, B., Wretman, J. (1992). Model Assisted Survey Sampling. New York: Springer Verlag.
- Tarantola, A. (2005). Inverse Problem Theory and Methods for Model Parameter Estimation. Philadelphia: SIAM.
- Tikhonov, A.N., Arsenin, V.A. (1977). Solutions of Ill-posed Problems. Washington: Winston & Sons.
- Yurinskii, V.V. (1976). Exponential inequalities for sums of random vectors. J. Multivariate Anal. 6:473–499.